Abstract: Provision of a power steering system capable of giving a driver no discomfort during high-speed travel. A controller calculates or stores a current instruction value I1 in accordance with a steering angle supplied from a steering angle sensor and a current instruction value I2 in accordance with a steering angular velocity; performs multiplication of the steering angle base current instruction value I1 and the steering angular velocity base current instruction value I2 by current instruction values I5, I6 set based on a vehicle speed, respectively; applies current instruction values I7, I8 in accordance with the vehicle speed serving as limit values to the corresponding steering angle base and steering angular velocity base current instruction values resulting from the multiplication; selects a larger value of the two current instruction values below the limit values; and determines the selected value as a solenoid current instruction value SI.